We present the z = 0.3-0.7 cluster X-ray luminosity function (XLF) det
ermined from the Southern Serendipitous High-Redshift Archival ROSAT C
luster (SHARC) survey, Over the luminosity range L similar to (0.3-3)
x 10(44) ergs s(-1) (0.5-2.0 keV), the XLF is in close agreement with
that of the low-redshift X-ray cluster population, This s result great
ly strengthens our previous claim of no evolution of the cluster popul
ation, at these luminosities, ata median redshift of z = 0.44.